B.A English

No, you don't need to be "fluent" in English to do a BA Honours English, but you do need a high level of proficiency in reading, writing, and strong comprehension skills, as well as a passion for the subject. 

So that it might be showing your interest towards the subject and what you have done in graduation period

Being a fluent English speaker will definitely be an advantage for you, but it's not a parameter for success. You can have strong writing skills, creative thinking, or presentation skills. It depends on the career path you choose if you need to have fluency in English. For example, if you want to get a job as a Translator, Customer Care Associate, or even an English Teacher, you'll be required to have a strong command of your spoken English.